How to Find GCF of 3846/116, 9433/923?

GCF of 3846/116, 9433/923

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 3846/116, 9433/923 i.e 1/107068 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3846/116, 9433/923.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 3846/116,9433/923?

Given fractions are 3846/116,9433/923

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 3846/116,9433/923, numerators are 3846,9433

Denominators are 116,923

The GCF of 3846,9433 is 1 .

LCM of 116,923 is 107068.

The greatest common factor of 3846/116,9433/923 = [GCF of 3846,9433]/[LCM of 116,923]= 1/107068

Therefore, the GCF of 3846/116,9433/923 is 1/107068.

Greatest Common Factor of 3846,9433

To find the highest common factor of 3846,9433, we have to find the factors of both numbers and list the highest common factor.

The factors of 3846 are 1, 2, 3, 6, 641, 1282, 1923, 3846

The factors of 9433 are 1, 9433

The HCF of 3846,9433 is 1.

Lets's calculate GCF of 3846,9433

Greatest Common Factor (GCF) of 3846,9433 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3846,9433 By Matching Biggest Common Factor Method

Now, list down the factors of 3846

1,2,3,6,641,1282,1923,3846

Now, list down the factors of 9433

1,9433

Greatest Common Factor

We found the factors 3846,9433 . The biggest common factor number is the GCF number.
So the greatest common factor 3846,9433 is 1.

Lets's calculate LCM of 116,923

Lowest Common Multiple of 116,923 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 107068

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/107068

Therefore, the GCF of Fractions 3846/116,9433/923 is 1/107068

Least Common Multiple of 116,923 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 116,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(116,923) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(116,923) x common factors =1 x 1 = 1

LCM(116,923) = ( 116 × 923 ) / 1

LCM(116,923) = 107068 / 1

LCM(116,923) = 107068

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FAQs on GCF of Fractions of 3846/116, 9433/923

1. What is the HCF of 3846,9433?

The HCF of 3846,9433 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 3846/116, 9433/923?

Answer: GCF of Numerators as per given numbers 3846/116, 9433/923 is

GCF of Numerators i.e. for 3846,9433 is 1

LCM of denominators i.e. for 116,923 is 107068.

Thus, GCF of Fractions is 1/107068.Finally, GCF of Fractions for 3846/116, 9433/923 is 1/107068.